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Finite-Element Simulation for Thermal Modeling of a Cell in an Adiabatic Calorimeter

Author

Listed:
  • José Eli Eduardo González-Durán

    (Instituto Tecnológico Superior del Sur de Guanajuato, Guanajuato 38980, Mexico
    These authors contributed equally to this work.)

  • Juvenal Rodríguez-Reséndiz

    (Facultad de Ingeniería, Universidad Autónoma de Querétaro, Querétaro 76010, Mexico
    These authors contributed equally to this work.)

  • Juan Manuel Olivares Ramirez

    (Universidad Tecnológica de San Juan del Río, San Juan del Río 76800, Mexico
    These authors contributed equally to this work.)

  • Marco Antonio Zamora-Antuñano

    (Departamento de Ingeniería, Universidad del Valle de Mexico, Querétaro 76230, Mexico
    These authors contributed equally to this work.)

  • Leonel Lira-Cortes

    (Centro Nacional de Metrología, El Marques 76246, Mexico
    These authors contributed equally to this work.)

Abstract

This research obtains a mathematical formulation to determine the heat transfer in a transient state, in a calorimeter cell, considering an adiabatic system. The development of the cell was established and the mathematical model was transiently solved, which approximated the physical phenomenon under the cell operation. A numerical method for complex geometries was used to validate performance. The results obtained in the transient heat transfer in a cylinder under boundary and initial conditions were compared using an analytical solution and numerical analysis employing the finite-element method with commercial software. The study from the temperature distribution can afford, selection between a cylindrical and spherical geometry, design criteria that are generated by changing parameters such as dimension, temperature, and working fluids to develop an adiabatic calorimeter to measure the heat capacity in fluids. We show the mathematical solution with its initial and boundary conditions as well as a comparison with a numerical solution for a cylindrical cell with a maximum error from 0.075% in the temperature value, along with a theoretical and numerical analysis for a temperature difference of 1 °C.

Suggested Citation

  • José Eli Eduardo González-Durán & Juvenal Rodríguez-Reséndiz & Juan Manuel Olivares Ramirez & Marco Antonio Zamora-Antuñano & Leonel Lira-Cortes, 2020. "Finite-Element Simulation for Thermal Modeling of a Cell in an Adiabatic Calorimeter," Energies, MDPI, vol. 13(9), pages 1-12, May.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:9:p:2300-:d:354402
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    References listed on IDEAS

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    1. Kofi Owura Amoabeng & Kwang Ho Lee & Jong Min Choi, 2019. "Modeling and Simulation Performance Evaluation of a Proposed Calorimeter for Testing a Heat Pump System," Energies, MDPI, vol. 12(23), pages 1-22, December.
    2. Juan Carlos Moreno-Piraján & Liliana Giraldo, 2008. "Isoperibolic Titration Calorimetry as a Tool for the Prediction of Thermodynamic Properties of Cyclodextrins," Energies, MDPI, vol. 1(3), pages 1-12, October.
    3. Heikki Karvinen & Afshin Hasani Aleni & Pauli Salminen & Tatiana Minav & Pedro Vilaça, 2019. "Thermal Efficiency and Material Properties of Friction Stir Channelling Applied to Aluminium Alloy AA5083," Energies, MDPI, vol. 12(8), pages 1-16, April.
    4. Sarafraz, M.M. & Safaei, M.R., 2019. "Diurnal thermal evaluation of an evacuated tube solar collector (ETSC) charged with graphene nanoplatelets-methanol nano-suspension," Renewable Energy, Elsevier, vol. 142(C), pages 364-372.
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    Cited by:

    1. Mikhail A. Sheremet, 2021. "Numerical Simulation of Convective-Radiative Heat Transfer," Energies, MDPI, vol. 14(17), pages 1-3, August.

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